Articles | Volume 11, issue 4
https://doi.org/10.5194/amt-11-1947-2018
https://doi.org/10.5194/amt-11-1947-2018
Research article
 | 
06 Apr 2018
Research article |  | 06 Apr 2018

A variational regularization of Abel transform for GPS radio occultation

Tae-Kwon Wee

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Cited articles

Abel, N. H.: Auflösung einer mechanischen Aufgabe, J. Reine. Angew. Math., 1, 153–157, https://doi.org/10.1515/crll.1826.1.153, 1826. 
Ahmad, B. and Tyler, G. L.: The two-dimensional resolution kernel associated with retrieval of ionospheric and atmospheric refractivity profiles by Abelian inversion of radio occultation phase data, Radio Sci., 33, 129–142, 1998. 
Ao, C. O., Meehan, T. K., Hajj, G. A., Mannucci, A. J., and Beyerle, G.: Lower-troposphere refractivity bias in GPS occultation retrievals, J. Geophys. Res., 108, 4577, https://doi.org/10.1029/2002JD003216, 2003. 
Bauer, P., Lopez, P., Salmond, D., Benedetti, A., and Moreau, E.: Implementation of 1D+4D-Var Assimilation of Microwave Radiances in Precipitation at ECMWF. I: 1D-Var, Q. J. Roy. Meteor. Soc., 132, 2277–2306, 2006. 
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Short summary
The refractivity in the radio occultation (RO) is generally obtained from the inverse Abel transform (AI) of measured bending angle. While concise and mathematically exact, AI is susceptible to the error present in the measurement. Aiming to reduce the adverse effects of the measurement error, this study proposes a new method for determining the refractivity through a variational regularization (VR). Verification shows that VR offers a definite advantage over AI in the quality of refractivity.